That last presssing -
For my "final pressing" -
I press from the back.
That is when I find twisted seams, seams that have skimpy seam allowances, and loose threads.
I usually press each seam before it is joined to another one, so I am fairly confident I do not have "pleats" - because I press each seam to be sure it is pleat free - from the top. But occasionally I do miss one.
Then I give the another press from the "right side" - just to be doubly sure that there are no pleats.
It would probably be a good idea to take a picture of the top at that stage - and look at the picture the next day to make sure that the top was assembled "as intended".